the following set of data is from a sample of n equals 6. 2,9,7,2,10,13 Compute the mean, median, and mode. Compute the range, variance, standard deviation, and coefficient of variationpute the Z scores?

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50

Mean = (6+2+9+7+2+10+13)/7 = 49/7 = 7Median: 1) first put the data in ascending order2, 2, 6, 7, 9, 10, 132) Median is the number in the middle = 7Mode: What appears most in the sample = 2Range: Min to max = 2 to 13Variance of sample: Sum((x-mean)^2)/(n-1) = 16.666667Standard Deviation = sqrt(variance) = sqrt(16.666667) = 4.082483Coefficient of Variance (CV): Standard deviation/mean = 0.583212Unbiased Coefficient of Variance: (1 + 1/4n) * CV = 0.604041Z-scores: (x – mean)/standard deviation2: Z = (2 – 7)/4.082483 = -1.224746: Z= -0.244957: Z = 09: Z = 0.48989810: Z = 0.73484713: Z = 1.469694Honestly, you could’ve just Googled how to do all of these. You can easily compute this using simple tools like a calculator or Microsoft Excel. But anyway, here are your answers.

ANSWERS:

Agreed, one could have googled this. Nonetheless, for those interested in understanding as opposed to simply getting the steps, here is a related 101-level reading of the z-score formula. Wikipedia is also a good resource for this. Just follow the hyperlinks/citations as necessary; it mostly gives you a nice trail! πŸ™‚

Agreed, one could have googled this. Nonetheless, for those interested in understanding as opposed to simply getting the steps, here is a related 101-level reading of the z-score formula. Wikipedia is also a good resource for this. Just follow the hyperlinks/citations as necessary; it mostly gives you a nice trail! πŸ™‚

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